MATH 2311 Review for Exam 2 5 Multiple Choice (40 points): Test 2 3 Free Response (60 points): Test 2 FR Terms and Vocabulary: Know sampling techniques Experiment vs. Observational Study Uniform Distribution vs. Normal Distribution Normal Distribution (x) vs. Standard Normal Distribution (z)
A density curve consists of two line segments, going from (0,0) to (1,1) and from (1,1) to (1.5,1). What is the probability of being above x=1?
The weight of persons of a certain age is normally distributed with a mean of 160 pounds and a standard deviation of 15 pounds. What range of weights should the middle 68% contain?
If X is normally distributed with a mean of 150 and a standard deviation of 15, what is P(X>155)?
Find the value of c so that P(Z>c) = 0.32.
A sample of 60 data points is selected from a population with mean of 140 and variance of 13. Determine the mean and standard deviation for the sample.
A sample of 25 iron filaments is selected from a large population with a mean weight of 1 gram and a standard deviation of 0.1 grams. What is the probability that the sample will have a mean weight of more than 1.2 grams?
In a large city, 75% of adults drive to work In a large city, 75% of adults drive to work. A sample of 50 adults are selected. What is the mean and standard deviation of this sample? What is the probability that the sample has less than 30 people drive to work>?
Determine the correlation coefficient for the following data table:
Determine the equation of the LSRL for the table of data:
Determine the residual for the x-value, x = 6 from the table.
Plot the residuals of the table:
Based on the two-way table describing car-type to driver’s age, determine what percent of 40-65 year olds drive pick up trucks.
Describe Convenience Sampling
What type of sampling is used here: The customer service score of a store is determined by the results of a survey attached the bottom of the store receipt.
People’s height is given by a normal probability with a mean of 70 inches and a standard deviation of 3 inches. Sketch the normal distribution curve, label the heights of each standard deviation, label the major percents of the population. Determine the z-score of a person with a height of 64 inches. Determine what height someone would be if they are in the 75th percentile of heights. *
Base your answers to the following on the table comparing age and average commuting distance. Construct a scatter plot Find the LSRL Interpret the slope Find the correlation coefficient Find the coefficient of determination Find the residual value for a person in their 40s. Construct the residual plot Is this a good model for this data? *
* Use a random digit table to simulate the following experiment: A pet store stocks merchandise based on the primary pet their customer owns. It has been seen that 40% of customers are cat- owners, 50% are dog owners, and 10% own other pets. How would you assign the digits on a Random Number Table to match these specifications? Use the first line in the table to simulate a group of 10 customers. Does this group match the general demographics the customer base?
Popper 22 Fill out choice D for questions 1 – 5.